Question

Refer to the figure given. What is the length of the shadow that is formed by the stick AB of length 10$\sqrt{3}$ units?

• A. 30
• B. 40 units
• C. 45 units
• D. 50 units

Answer 1

The correct option is A

30

BC is the shadow. In ΔABC, tan${30}^{\circ }$ = $\frac{AB}{BC}$

$\Rightarrow$ $\frac{1}{\sqrt{3}}$ = 10$\sqrt{3}$

$\Rightarrow$ BC = 30 units

Now, just like the stick, AB obstructed the sun rays from reaching the ground till BC (casting a shadow), in the above question, the building would obstruct the child’s view of the pole. Start thinking now about the visualisation.